Deep concentration mixed with a twinge of joy is evident on the woman’s face. As she steps to the beat of a slow country tune as a warm-up, her curled white hair remains perfectly intact in its up-do.

That’s the motto Larry Stephens and other members of the Still Kickin’ Cloggers live by. The Cloggers are a seniors-only group of men and women ranging from their 50s to their 90s, all from the ...